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Answer:
3x -2y +11 = 0
Explanation:
The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...
b(x -h) -a(y -k) = 0
Simplifying this will put it in general form.
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You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...
3(x +1) -2(y -4) = 0 . . . . fill in the values
3x -2y +11 = 0 . . . . . . . simplify